GCF of 1280/967, 3900/290
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1280/967, 3900/290 i.e 20/280430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1280/967, 3900/290.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1280/967,3900/290?
Given fractions are 1280/967,3900/290
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 1280/967,3900/290, numerators are 1280,3900
Denominators are 967,290
The GCF of 1280,3900 is 20 .
LCM of 967,290 is 280430.
The greatest common factor of 1280/967,3900/290 = [GCF of 1280,3900]/[LCM of 967,290]= 20/280430
Therefore, the GCF of 1280/967,3900/290 is 20/280430.
To find the highest common factor of 1280,3900, we have to find the factors of both numbers and list the highest common factor.
The factors of 1280 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 640, 1280
The factors of 3900 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950, 3900
The HCF of 1280,3900 is 20.
Lets's calculate GCF of 1280,3900
| 2 | 1280, 3900 |
| 2 | 640, 1950 |
| 5 | 320, 975 |
| 64, 195 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 1280,3900 By Matching Biggest Common Factor Method
Now, list down the factors of 1280
:1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,640,1280
Now, list down the factors of 3900
:1,2,3,4,5,6,10,12,13,15,20,25,26,30,39,50,52,60,65,75,78,100,130,150,156,195,260,300,325,390,650,780,975,1300,1950,3900
Greatest Common Factor
We found the factors 1280,3900 . The biggest common factor number is the GCF number.
So the greatest common factor 1280,3900 is 20.
Lets's calculate LCM of 967,290
Given numbers has no common factors except 1. So, there LCM is their product i.e 280430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/280430
Therefore, the GCF of Fractions 1280/967,3900/290 is 20/280430
Least Common Multiple of 967,290 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 967,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,290) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,290) x common factors =1 x 1 = 1
LCM(967,290) = ( 967 × 290 ) / 1
LCM(967,290) = 280430 / 1
LCM(967,290) = 280430
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1280/967, 3900/290
1. What is the HCF of 1280,3900?
The HCF of 1280,3900 is 20
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 1280/967, 3900/290?
Answer: GCF of Numerators as per given numbers 1280/967, 3900/290 is
GCF of Numerators i.e. for 1280,3900 is 20
LCM of denominators i.e. for 967,290 is 280430.
Thus, GCF of Fractions is 20/280430.Finally, GCF of Fractions for 1280/967, 3900/290 is 20/280430.